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Finding the Fourth Proportional to 31,251.83, 43,116.80 and 17,813.39

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Solution

The fourth proportional to 31,251.83, 43,116.80 and 17,813.39 is: 24,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,251.83 : 43,116.80 = 17,813.39 : x
  2. Step 2: Convert to fraction form
    31,251.83/43,116.80 = 17,813.39/x
  3. Step 3: Cross multiply
    31,251.83x = 43,116.80 × 17,813.39
  4. Step 4: Simplify right side
    31,251.83x = 768,056,069.30
  5. Step 5: Solve for x
    x = 768,056,069.30/31,251.83
  6. Step 6: Final answer
    x = 24,576.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.